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The vector equation of the line passing through $\mathrm{P}(1,2,3)$ and $\mathrm{Q}(2,3,4)$ is
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Verified Answer
The correct answer is:
$(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(\hat{i}+\hat{j}+\hat{k})$
d.r. of line through PQ are $[(2,-1),(3,-2),(4,-3)]$ i.e. $(1,1,1)$ Hence required equation of line is
$$
(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(\hat{i}+\hat{j}+\hat{k})
$$
$$
(\hat{i}+2 \hat{j}+3 \hat{k})+\lambda(\hat{i}+\hat{j}+\hat{k})
$$
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